float
coshf(float x)
{
float t,w;
int32_t ix;
GET_FLOAT_WORD(ix,x);
ix &= 0x7fffffff;
/* x is INF or NaN */
if(ix>=0x7f800000) return x*x;
/* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */
if(ix<0x3eb17218) {
t = expm1f(fabsf(x));
w = one+t;
if (ix<0x24000000) return w; /* cosh(tiny) = 1 */
return one+(t*t)/(w+w);
}
/* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */
if (ix < 0x41b00000) {
t = expf(fabsf(x));
return half*t+half/t;
}
/* |x| in [22, log(maxdouble)] return half*exp(|x|) */
if (ix < 0x42b17180) return half*expf(fabsf(x));
/* |x| in [log(maxdouble), overflowthresold] */
if (ix<=0x42b2d4fc) {
w = expf(half*fabsf(x));
t = half*w;
return t*w;
}
/* |x| > overflowthresold, cosh(x) overflow */
return huge*huge;
}
float sinhf(float x)
{
float t, w, h;
s32_t ix, jx;
GET_FLOAT_WORD(jx,x);
ix = jx & 0x7fffffff;
if (ix >= 0x7f800000)
return x + x;
h = 0.5;
if (jx < 0)
h = -h;
if (ix < 0x41100000)
{
if (ix < 0x39800000)
if (shuge + x > one)
return x;
t = expm1f(fabsf(x));
if (ix < 0x3f800000)
return h * ((float) 2.0 * t - t * t / (t + one));
return h * (t + t / (t + one));
}
if (ix < 0x42b17217)
return h * expf(fabsf(x));
if (ix <= 0x42b2d4fc)
{
w = expf((float) 0.5 * fabsf(x));
t = h * w;
return t * w;
}
return x * shuge;
}
float coshf(float x)
{
float t, w;
s32_t ix;
GET_FLOAT_WORD(ix,x);
ix &= 0x7fffffff;
if (ix >= 0x7f800000)
return x * x;
if (ix < 0x3eb17218)
{
t = expm1f(fabsf(x));
w = one + t;
if (ix < 0x39800000)
return one;
return one + (t * t) / (w + w);
}
if (ix < 0x41100000)
{
t = expf(fabsf(x));
return half * t + half / t;
}
if (ix < 0x42b17217)
return half * expf(fabsf(x));
if (ix <= 0x42b2d4fc)
{
w = expf(half * fabsf(x));
t = half * w;
return t * w;
}
return huge * huge;
}
EXPORT_C
float
__ieee754_sinhf(float x)
{
float t,w,h;
int32_t ix,jx;
GET_FLOAT_WORD(jx,x);
ix = jx&0x7fffffff;
/* x is INF or NaN */
if(ix>=0x7f800000) return x+x;
h = 0.5;
if (jx<0) h = -h;
/* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
if (ix < 0x41b00000) { /* |x|<22 */
if (ix<0x31800000) /* |x|<2**-28 */
if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
t = expm1f(fabsf(x));
if(ix<0x3f800000) return h*((float)2.0*t-t*t/(t+one));
return h*(t+t/(t+one));
}
/* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
if (ix < 0x42b17180) return h*__ieee754_expf(fabsf(x));
/* |x| in [log(maxdouble), overflowthresold] */
if (ix<=0x42b2d4fc) {
w = __ieee754_expf((float)0.5*fabsf(x));
t = h*w;
return t*w;
}
/* |x| > overflowthresold, sinh(x) overflow */
return x*shuge;
}
DLLEXPORT float
__ieee754_coshf(float x)
{
float t,w;
int32_t ix;
GET_FLOAT_WORD(ix,x);
ix &= 0x7fffffff;
/* x is INF or NaN */
if(ix>=0x7f800000) return x*x;
/* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */
if(ix<0x3eb17218) {
t = expm1f(fabsf(x));
w = one+t;
if (ix<0x39800000) return one; /* cosh(tiny) = 1 */
return one+(t*t)/(w+w);
}
/* |x| in [0.5*ln2,9], return (exp(|x|)+1/exp(|x|))/2; */
if (ix < 0x41100000) {
t = __ieee754_expf(fabsf(x));
return half*t+half/t;
}
/* |x| in [9, log(maxfloat)] return half*exp(|x|) */
if (ix < 0x42b17217) return half*__ieee754_expf(fabsf(x));
/* |x| in [log(maxfloat), overflowthresold] */
if (ix<=0x42b2d4fc)
return __ldexp_expf(fabsf(x), -1);
/* |x| > overflowthresold, cosh(x) overflow */
return huge*huge;
}
inline float expm1f2(float x) {
return expm1f(x);
}
void
domathf (void)
{
#ifndef NO_FLOAT
float f1;
float f2;
int i1;
f1 = acosf(0.0);
fprintf( stdout, "acosf : %f\n", f1);
f1 = acoshf(0.0);
fprintf( stdout, "acoshf : %f\n", f1);
f1 = asinf(1.0);
fprintf( stdout, "asinf : %f\n", f1);
f1 = asinhf(1.0);
fprintf( stdout, "asinhf : %f\n", f1);
f1 = atanf(M_PI_4);
fprintf( stdout, "atanf : %f\n", f1);
f1 = atan2f(2.3, 2.3);
fprintf( stdout, "atan2f : %f\n", f1);
f1 = atanhf(1.0);
fprintf( stdout, "atanhf : %f\n", f1);
f1 = cbrtf(27.0);
fprintf( stdout, "cbrtf : %f\n", f1);
f1 = ceilf(3.5);
fprintf( stdout, "ceilf : %f\n", f1);
f1 = copysignf(3.5, -2.5);
fprintf( stdout, "copysignf : %f\n", f1);
f1 = cosf(M_PI_2);
fprintf( stdout, "cosf : %f\n", f1);
f1 = coshf(M_PI_2);
fprintf( stdout, "coshf : %f\n", f1);
f1 = erff(42.0);
fprintf( stdout, "erff : %f\n", f1);
f1 = erfcf(42.0);
fprintf( stdout, "erfcf : %f\n", f1);
f1 = expf(0.42);
fprintf( stdout, "expf : %f\n", f1);
f1 = exp2f(0.42);
fprintf( stdout, "exp2f : %f\n", f1);
f1 = expm1f(0.00042);
fprintf( stdout, "expm1f : %f\n", f1);
f1 = fabsf(-1.123);
fprintf( stdout, "fabsf : %f\n", f1);
f1 = fdimf(1.123, 2.123);
fprintf( stdout, "fdimf : %f\n", f1);
f1 = floorf(0.5);
fprintf( stdout, "floorf : %f\n", f1);
f1 = floorf(-0.5);
fprintf( stdout, "floorf : %f\n", f1);
f1 = fmaf(2.1, 2.2, 3.01);
fprintf( stdout, "fmaf : %f\n", f1);
f1 = fmaxf(-0.42, 0.42);
fprintf( stdout, "fmaxf : %f\n", f1);
f1 = fminf(-0.42, 0.42);
fprintf( stdout, "fminf : %f\n", f1);
f1 = fmodf(42.0, 3.0);
fprintf( stdout, "fmodf : %f\n", f1);
/* no type-specific variant */
i1 = fpclassify(1.0);
fprintf( stdout, "fpclassify : %d\n", i1);
f1 = frexpf(42.0, &i1);
fprintf( stdout, "frexpf : %f\n", f1);
f1 = hypotf(42.0, 42.0);
fprintf( stdout, "hypotf : %f\n", f1);
i1 = ilogbf(42.0);
fprintf( stdout, "ilogbf : %d\n", i1);
/* no type-specific variant */
i1 = isfinite(3.0);
fprintf( stdout, "isfinite : %d\n", i1);
/* no type-specific variant */
i1 = isgreater(3.0, 3.1);
fprintf( stdout, "isgreater : %d\n", i1);
/* no type-specific variant */
i1 = isgreaterequal(3.0, 3.1);
fprintf( stdout, "isgreaterequal : %d\n", i1);
/* no type-specific variant */
i1 = isinf(3.0);
fprintf( stdout, "isinf : %d\n", i1);
/* no type-specific variant */
i1 = isless(3.0, 3.1);
fprintf( stdout, "isless : %d\n", i1);
/* no type-specific variant */
i1 = islessequal(3.0, 3.1);
fprintf( stdout, "islessequal : %d\n", i1);
/* no type-specific variant */
i1 = islessgreater(3.0, 3.1);
fprintf( stdout, "islessgreater : %d\n", i1);
/* no type-specific variant */
i1 = isnan(0.0);
fprintf( stdout, "isnan : %d\n", i1);
/* no type-specific variant */
i1 = isnormal(3.0);
fprintf( stdout, "isnormal : %d\n", i1);
/* no type-specific variant */
f1 = isunordered(1.0, 2.0);
fprintf( stdout, "isunordered : %d\n", i1);
f1 = j0f(1.2);
fprintf( stdout, "j0f : %f\n", f1);
f1 = j1f(1.2);
fprintf( stdout, "j1f : %f\n", f1);
f1 = jnf(2,1.2);
fprintf( stdout, "jnf : %f\n", f1);
f1 = ldexpf(1.2,3);
fprintf( stdout, "ldexpf : %f\n", f1);
f1 = lgammaf(42.0);
fprintf( stdout, "lgammaf : %f\n", f1);
f1 = llrintf(-0.5);
fprintf( stdout, "llrintf : %f\n", f1);
f1 = llrintf(0.5);
fprintf( stdout, "llrintf : %f\n", f1);
f1 = llroundf(-0.5);
fprintf( stdout, "lroundf : %f\n", f1);
f1 = llroundf(0.5);
fprintf( stdout, "lroundf : %f\n", f1);
f1 = logf(42.0);
fprintf( stdout, "logf : %f\n", f1);
f1 = log10f(42.0);
fprintf( stdout, "log10f : %f\n", f1);
f1 = log1pf(42.0);
fprintf( stdout, "log1pf : %f\n", f1);
f1 = log2f(42.0);
fprintf( stdout, "log2f : %f\n", f1);
f1 = logbf(42.0);
fprintf( stdout, "logbf : %f\n", f1);
f1 = lrintf(-0.5);
fprintf( stdout, "lrintf : %f\n", f1);
f1 = lrintf(0.5);
fprintf( stdout, "lrintf : %f\n", f1);
f1 = lroundf(-0.5);
fprintf( stdout, "lroundf : %f\n", f1);
f1 = lroundf(0.5);
fprintf( stdout, "lroundf : %f\n", f1);
f1 = modff(42.0,&f2);
fprintf( stdout, "lmodff : %f\n", f1);
f1 = nanf("");
fprintf( stdout, "nanf : %f\n", f1);
f1 = nearbyintf(1.5);
fprintf( stdout, "nearbyintf : %f\n", f1);
f1 = nextafterf(1.5,2.0);
fprintf( stdout, "nextafterf : %f\n", f1);
f1 = powf(3.01, 2.0);
fprintf( stdout, "powf : %f\n", f1);
f1 = remainderf(3.01,2.0);
fprintf( stdout, "remainderf : %f\n", f1);
f1 = remquof(29.0,3.0,&i1);
fprintf( stdout, "remquof : %f\n", f1);
f1 = rintf(0.5);
fprintf( stdout, "rintf : %f\n", f1);
f1 = rintf(-0.5);
fprintf( stdout, "rintf : %f\n", f1);
f1 = roundf(0.5);
fprintf( stdout, "roundf : %f\n", f1);
f1 = roundf(-0.5);
fprintf( stdout, "roundf : %f\n", f1);
f1 = scalblnf(1.2,3);
fprintf( stdout, "scalblnf : %f\n", f1);
f1 = scalbnf(1.2,3);
fprintf( stdout, "scalbnf : %f\n", f1);
/* no type-specific variant */
i1 = signbit(1.0);
fprintf( stdout, "signbit : %i\n", i1);
f1 = sinf(M_PI_4);
fprintf( stdout, "sinf : %f\n", f1);
f1 = sinhf(M_PI_4);
fprintf( stdout, "sinhf : %f\n", f1);
f1 = sqrtf(9.0);
fprintf( stdout, "sqrtf : %f\n", f1);
f1 = tanf(M_PI_4);
fprintf( stdout, "tanf : %f\n", f1);
f1 = tanhf(M_PI_4);
fprintf( stdout, "tanhf : %f\n", f1);
f1 = tgammaf(2.1);
fprintf( stdout, "tgammaf : %f\n", f1);
f1 = truncf(3.5);
fprintf( stdout, "truncf : %f\n", f1);
f1 = y0f(1.2);
fprintf( stdout, "y0f : %f\n", f1);
f1 = y1f(1.2);
fprintf( stdout, "y1f : %f\n", f1);
f1 = ynf(3,1.2);
fprintf( stdout, "ynf : %f\n", f1);
#endif
}
npy_float npy_expm1f(npy_float x)
{
return expm1f(x);
}
TEST(math, expm1f) {
ASSERT_FLOAT_EQ(static_cast<float>(M_E) - 1.0f, expm1f(1.0f));
}
__host__ void single_precision_math_functions()
{
int iX;
float fX, fY;
acosf(1.0f);
acoshf(1.0f);
asinf(0.0f);
asinhf(0.0f);
atan2f(0.0f, 1.0f);
atanf(0.0f);
atanhf(0.0f);
cbrtf(0.0f);
ceilf(0.0f);
copysignf(1.0f, -2.0f);
cosf(0.0f);
coshf(0.0f);
//cospif(0.0f);
//cyl_bessel_i0f(0.0f);
//cyl_bessel_i1f(0.0f);
erfcf(0.0f);
//erfcinvf(2.0f);
//erfcxf(0.0f);
erff(0.0f);
//erfinvf(1.0f);
exp10f(0.0f);
exp2f(0.0f);
expf(0.0f);
expm1f(0.0f);
fabsf(1.0f);
fdimf(1.0f, 0.0f);
//fdividef(0.0f, 1.0f);
floorf(0.0f);
fmaf(1.0f, 2.0f, 3.0f);
fmaxf(0.0f, 0.0f);
fminf(0.0f, 0.0f);
fmodf(0.0f, 1.0f);
frexpf(0.0f, &iX);
hypotf(1.0f, 0.0f);
ilogbf(1.0f);
isfinite(0.0f);
isinf(0.0f);
isnan(0.0f);
///j0f(0.0f);
///j1f(0.0f);
///jnf(-1.0f, 1.0f);
ldexpf(0.0f, 0);
///lgammaf(1.0f);
///llrintf(0.0f);
///llroundf(0.0f);
log10f(1.0f);
log1pf(-1.0f);
log2f(1.0f);
logbf(1.0f);
logf(1.0f);
///lrintf(0.0f);
///lroundf(0.0f);
modff(0.0f, &fX);
///nanf("1");
nearbyintf(0.0f);
//nextafterf(0.0f);
//norm3df(1.0f, 0.0f, 0.0f);
//norm4df(1.0f, 0.0f, 0.0f, 0.0f);
//normcdff(0.0f);
//normcdfinvf(1.0f);
//fX = 1.0f; normf(1, &fX);
powf(1.0f, 0.0f);
//rcbrtf(1.0f);
remainderf(2.0f, 1.0f);
remquof(1.0f, 2.0f, &iX);
//rhypotf(0.0f, 1.0f);
///rintf(1.0f);
//rnorm3df(0.0f, 0.0f, 1.0f);
//rnorm4df(0.0f, 0.0f, 0.0f, 1.0f);
//fX = 1.0f; rnormf(1, &fX);
roundf(0.0f);
//rsqrtf(1.0f);
///scalblnf(0.0f, 1);
scalbnf(0.0f, 1);
signbit(1.0f);
sincosf(0.0f, &fX, &fY);
//sincospif(0.0f, &fX, &fY);
sinf(0.0f);
sinhf(0.0f);
//sinpif(0.0f);
sqrtf(0.0f);
tanf(0.0f);
tanhf(0.0f);
tgammaf(2.0f);
truncf(0.0f);
///y0f(1.0f);
///y1f(1.0f);
///ynf(1, 1.0f);
}
static int testf(float float_x, long double long_double_x, /*float complex float_complex_x,*/ int int_x, long long_x)
{
int r = 0;
r += acosf(float_x);
r += acoshf(float_x);
r += asinf(float_x);
r += asinhf(float_x);
r += atan2f(float_x, float_x);
r += atanf(float_x);
r += atanhf(float_x);
/*r += cargf(float_complex_x); - will fight with complex numbers later */
r += cbrtf(float_x);
r += ceilf(float_x);
r += copysignf(float_x, float_x);
r += cosf(float_x);
r += coshf(float_x);
r += erfcf(float_x);
r += erff(float_x);
r += exp2f(float_x);
r += expf(float_x);
r += expm1f(float_x);
r += fabsf(float_x);
r += fdimf(float_x, float_x);
r += floorf(float_x);
r += fmaf(float_x, float_x, float_x);
r += fmaxf(float_x, float_x);
r += fminf(float_x, float_x);
r += fmodf(float_x, float_x);
r += frexpf(float_x, &int_x);
r += gammaf(float_x);
r += hypotf(float_x, float_x);
r += ilogbf(float_x);
r += ldexpf(float_x, int_x);
r += lgammaf(float_x);
r += llrintf(float_x);
r += llroundf(float_x);
r += log10f(float_x);
r += log1pf(float_x);
r += log2f(float_x);
r += logbf(float_x);
r += logf(float_x);
r += lrintf(float_x);
r += lroundf(float_x);
r += modff(float_x, &float_x);
r += nearbyintf(float_x);
r += nexttowardf(float_x, long_double_x);
r += powf(float_x, float_x);
r += remainderf(float_x, float_x);
r += remquof(float_x, float_x, &int_x);
r += rintf(float_x);
r += roundf(float_x);
#ifdef __UCLIBC_SUSV3_LEGACY__
r += scalbf(float_x, float_x);
#endif
r += scalblnf(float_x, long_x);
r += scalbnf(float_x, int_x);
r += significandf(float_x);
r += sinf(float_x);
r += sinhf(float_x);
r += sqrtf(float_x);
r += tanf(float_x);
r += tanhf(float_x);
r += tgammaf(float_x);
r += truncf(float_x);
return r;
}
__global__ void FloatMathPrecise() {
int iX;
float fX, fY;
acosf(1.0f);
acoshf(1.0f);
asinf(0.0f);
asinhf(0.0f);
atan2f(0.0f, 1.0f);
atanf(0.0f);
atanhf(0.0f);
cbrtf(0.0f);
fX = ceilf(0.0f);
fX = copysignf(1.0f, -2.0f);
cosf(0.0f);
coshf(0.0f);
cospif(0.0f);
cyl_bessel_i0f(0.0f);
cyl_bessel_i1f(0.0f);
erfcf(0.0f);
erfcinvf(2.0f);
erfcxf(0.0f);
erff(0.0f);
erfinvf(1.0f);
exp10f(0.0f);
exp2f(0.0f);
expf(0.0f);
expm1f(0.0f);
fX = fabsf(1.0f);
fdimf(1.0f, 0.0f);
fdividef(0.0f, 1.0f);
fX = floorf(0.0f);
fmaf(1.0f, 2.0f, 3.0f);
fX = fmaxf(0.0f, 0.0f);
fX = fminf(0.0f, 0.0f);
fmodf(0.0f, 1.0f);
frexpf(0.0f, &iX);
hypotf(1.0f, 0.0f);
ilogbf(1.0f);
isfinite(0.0f);
fX = isinf(0.0f);
fX = isnan(0.0f);
j0f(0.0f);
j1f(0.0f);
jnf(-1.0f, 1.0f);
ldexpf(0.0f, 0);
lgammaf(1.0f);
llrintf(0.0f);
llroundf(0.0f);
log10f(1.0f);
log1pf(-1.0f);
log2f(1.0f);
logbf(1.0f);
logf(1.0f);
lrintf(0.0f);
lroundf(0.0f);
modff(0.0f, &fX);
fX = nanf("1");
fX = nearbyintf(0.0f);
nextafterf(0.0f, 0.0f);
norm3df(1.0f, 0.0f, 0.0f);
norm4df(1.0f, 0.0f, 0.0f, 0.0f);
normcdff(0.0f);
normcdfinvf(1.0f);
fX = 1.0f;
normf(1, &fX);
powf(1.0f, 0.0f);
rcbrtf(1.0f);
remainderf(2.0f, 1.0f);
remquof(1.0f, 2.0f, &iX);
rhypotf(0.0f, 1.0f);
fY = rintf(1.0f);
rnorm3df(0.0f, 0.0f, 1.0f);
rnorm4df(0.0f, 0.0f, 0.0f, 1.0f);
fX = 1.0f;
rnormf(1, &fX);
fY = roundf(0.0f);
rsqrtf(1.0f);
scalblnf(0.0f, 1);
scalbnf(0.0f, 1);
signbit(1.0f);
sincosf(0.0f, &fX, &fY);
sincospif(0.0f, &fX, &fY);
sinf(0.0f);
sinhf(0.0f);
sinpif(0.0f);
sqrtf(0.0f);
tanf(0.0f);
tanhf(0.0f);
tgammaf(2.0f);
fY = truncf(0.0f);
y0f(1.0f);
y1f(1.0f);
ynf(1, 1.0f);
}
static GMQCC_INLINE ast_expression *fold_intrin_expm1(fold_t *fold, ast_value *a) {
return fold_constgen_float(fold, expm1f(fold_immvalue_float(a)));
}
